As we are not interested in the region close to the phase transition
(where global synchronization sets in), as e.g., in
[1]}, [2]}, we choose a quite large value for the maximum
capacity of the power lines. In fact, we choose \(K^{\rm MAX} = 5 \cdot N\) .
Therefore, the argument of the sine in staticeq needs to be small
to fulfill the equation, as we choose the consumed and produced power
\(P_i\)  uniformly from the interval \([-1,1]\) , respectively. Hence, we
expand the sine and obtain
\(P_i = -\sum _j K_{ji}^{\rm MAX} (\phi _j - \phi _i),\) 
